INTEGRABLE QUANTUM MAPPINGS

被引：27

作者：

NIJHOFF, FW

CAPEL, HW

PAPAGEORGIOU, VG

机构：

[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13699 USA

[2] UNIV AMSTERDAM, INST THEORET FYS, 1018 XE AMSTERDAM, NETHERLANDS

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.46.2155

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A quantum R-matrix structure is presented for a family of exactly integrable multidimensional rational mappings related to lattice versions of the Korteweg-de Vries equation. It is shown that these mappings possess a commuting family of invariants.

引用

页码：2155 / 2158

页数：4

共 59 条

[21]

Drinfeld V G, 1986, QUANTUM GROUPS, P798

[22] QUANTUM-MECHANICS OF CLASSICALLY NON-INTEGRABLE SYSTEMS [J].

ECKHARDT, B .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1988, 163 (04) :205-297

[23]

Faddeev L.D., 1987, HAMILTONIAN METHODS

[24]

Faddeev L D, 1984, RECENT ADV FIELD THE, P561

[25]

Faddeev L.D., 1986, LECT NOTES PHYS, V246, P166, DOI 10.1007/3-540-16452-9_10

[26] INFINITE FAMILY OF POLYNOMIAL FUNCTIONS OF THE VIRASORO GENERATORS WITH VANISHING POISSON BRACKETS [J].

GERVAIS, JL .

PHYSICS LETTERS B, 1985, 160 (4-5) :277-278

[27]

GERVAIS JL, 1985, PHYS LETT B, V160, P279, DOI 10.1016/0370-2693(85)91327-9

[28] NONPERTURBATIVE 2-DIMENSIONAL QUANTUM-GRAVITY [J].

GROSS, DJ ;

MIGDAL, AA .

PHYSICAL REVIEW LETTERS, 1990, 64 (02) :127-130

[29] NUMERICALLY INDUCED CHAOS IN THE NONLINEAR SCHRODINGER-EQUATION [J].

HERBST, BM ;

ABLOWITZ, MJ .

PHYSICAL REVIEW LETTERS, 1989, 62 (18) :2065-2068

[30] DISCRETE ANALOG OF A GENERALIZED TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (11) :3785-3791

← 1 2 3 4 5 6 →